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arXiv 2009-11-13 0 views

An Extension of the Cartan-Nochka Second Main Theorem for Hypersurfaces

Dethloff, Gerd · Van Tan, Tran · Thai, Do Duc

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In 1983, Nochka proved a conjecture of Cartan on defects of holomorphic curves in CPⁿ relative to a possibly degenerate set of hyperplanes. In this paper, we generalize the Nochka's theorem to the case of curves in a complex projective variety intersecting hypersurfaces in subgeneral position.

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